1457622144 has 144 divisors (see below), whose sum is σ = 4610879910. Its totient is φ = 441661440.

The previous prime is 1457622097. The next prime is 1457622149. The reversal of 1457622144 is 4412267541.

1457622144 is a `hidden beast` number, since 1 + 457 + 62 + 2 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 954068544 + 503553600 = 30888^2 + 22440^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1457622099 and 1457622108.

It is not an unprimeable number, because it can be changed into a prime (1457622149) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 134164 + ... + 144620.

Almost surely, 2^1457622144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457622144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305439955).

1457622144 is an abundant number, since it is smaller than the sum of its proper divisors (3153257766).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1457622144 is a wasteful number, since it uses less digits than its factorization.

1457622144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10499 (or 10473 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 1457622144 is about 38178.8180016092. The cubic root of 1457622144 is about 1133.8309799136.

Adding to 1457622144 its reverse (4412267541), we get a palindrome (5869889685).

The spelling of 1457622144 in words is "one billion, four hundred fifty-seven million, six hundred twenty-two thousand, one hundred forty-four".